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Finding the Fourth Proportional to 19,848.12, 29,776.50 and 6,699.93

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Solution

The fourth proportional to 19,848.12, 29,776.50 and 6,699.93 is: 10,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848.12 : 29,776.50 = 6,699.93 : x
  2. Step 2: Convert to fraction form
    19,848.12/29,776.50 = 6,699.93/x
  3. Step 3: Cross multiply
    19,848.12x = 29,776.50 × 6,699.93
  4. Step 4: Simplify right side
    19,848.12x = 199,500,465.65
  5. Step 5: Solve for x
    x = 199,500,465.65/19,848.12
  6. Step 6: Final answer
    x = 10,051.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.